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Simplifying 4r + 3 = 10r + 5 Reorder the terms: 3 + 4r = 10r + 5 Reorder the terms: 3 + 4r = 5 + 10r Solving 3 + 4r = 5 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 3 + 4r + -10r = 5 + 10r + -10r Combine like terms: 4r + -10r = -6r 3 + -6r = 5 + 10r + -10r Combine like terms: 10r + -10r = 0 3 + -6r = 5 + 0 3 + -6r = 5 Add '-3' to each side of the equation. 3 + -3 + -6r = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -6r = 5 + -3 -6r = 5 + -3 Combine like terms: 5 + -3 = 2 -6r = 2 Divide each side by '-6'. r = -0.3333333333 Simplifying r = -0.3333333333
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